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87780313138825 = 5271315131569311
BaseRepresentation
bin10011111101010111110010…
…011000100000011010001001
3102111210201022221122120110101
4103331113302120200122021
543001143040130420300
6510405415200445401
724326626663460056
oct2375276230403211
9374721287576411
1087780313138825
1125a7347037aa7a
129a184b5319861
1339c98568aa818
1417968386a002d
15a23579e15b6a
hex4fd5f2620689

87780313138825 has 24 divisors (see below), whose sum is σ = 110384225957376. Its totient is φ = 69232935408000.

The previous prime is 87780313138807. The next prime is 87780313138841. The reversal of 87780313138825 is 52883131308778.

It is not a de Polignac number, because 87780313138825 - 213 = 87780313130633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55150920 + ... + 56720230.

It is an arithmetic number, because the mean of its divisors is an integer number (4599342748224).

Almost surely, 287780313138825 is an apocalyptic number.

It is an amenable number.

87780313138825 is a deficient number, since it is larger than the sum of its proper divisors (22603912818551).

87780313138825 is a wasteful number, since it uses less digits than its factorization.

87780313138825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600905 (or 1600900 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 64.

The spelling of 87780313138825 in words is "eighty-seven trillion, seven hundred eighty billion, three hundred thirteen million, one hundred thirty-eight thousand, eight hundred twenty-five".

Divisors: 1 5 25 71 355 1775 31513 157565 787825 1569311 2237423 7846555 11187115 39232775 55935575 111421081 557105405 2785527025 49453697543 247268487715 1236342438575 3511212525553 17556062627765 87780313138825